A341295 Allowable values for the total number of times we can have ab != ba in the Cayley table of a finite non-abelian group.

18, 24, 60, 72, 96, 126, 144, 162, 216, 240, 288, 300, 330, 336, 360, 384, 408, 432, 450, 456, 468, 480, 504, 540, 576, 600, 630, 648, 672

Offset

1,1

Comments

a(n) is always even.

Links

Table of n, a(n) for n=1..29.

B. Dolan, D. MacHale and P. MacHale, Counting Commutativities in Finite Algebraic Systems, Irish Math. Soc. Bulletin, Number 77, Summer 2016, 61-70.

Crossrefs

Cf. A341294.

Sequence in context: A360768 A359409 A362432 * A364998 A369540 A125261

Adjacent sequences: A341292 A341293 A341294 * A341296 A341297 A341298

Keyword

nonn,more

Author

Des MacHale, Feb 05 2021

Status

approved